Question

Which terms could be used as the first term of the expression below to create a polynomial written in standard form? Select five options.

+ 8r2s4 – 3r3s3



`(5s^(7) )/(6)`

s5

3r4s5

–r4s6

–6rs5


`(4r)/(5^(6) )`

Answer 1

`(A)(5s^7)/(6)\\(B)s^5\\(E)-6rs^5 \\(F)(4r)/(5^6)`

Explanation:

A polynomial is said to be in standard form when it is written in descending order of the given variable.

From the given polynomial

`+ 8r^2s^4 - 3r^3s^3`

• s is written in descending power
• r is written in ascending order

Therefore, a first term of the polynomial must satisfy the following:

• Power of r must be less than 2
• Power of s must be greater than 4.

The following satisfies these conditions:

`(A)(5s^7)/(6)\\(B)s^5\\(E)-6rs^5 \\(F)(4r)/(5^6)`